Results 101 to 110 of about 545,475 (201)

Computing Hadamard type operators of variable fractional order

open access: yes
We consider Hadamard fractional derivatives and integrals of variable fractional order. A new type of fractional operator, which we call the Hadamard-Marchaud fractional derivative, is also considered.
Torres, D. F. M., Almeida, R.
core   +1 more source

Hermite-Hadamard-type Inequalities for Increasing Convex-along-rays Functions [PDF]

open access: yes, 2001
Some inequalities of Hermite-Hadamard type for increasing convexalong-rays functions are given. Examples for particular domains including triangles, squares, and the part of the unit disk in the first quadrant are also ...
Dragomir, Sever S   +2 more
core   +1 more source

Hadamard-type fractional differential equations, inclusions and inequalities

open access: yes, 2017
This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral.
Tariboon, Jessada   +7 more
core   +1 more source

Nonlocal initial value problems for implicit differential equations with Hilfer–Hadamard fractional derivative [PDF]

open access: yes, 2018
In this paper, the Schaefer\u27s fixed-point theorem is used to investigate the existence of solutions to nonlocal initial value problems for implicit differential equations with Hilfer–Hadamard fractional derivative.
Vivek, Devaraj   +2 more
core   +1 more source

Systems of mutually unbiased Hadamard matrices containing real and complex matrices [PDF]

open access: yes, 2013
We use combinatorial and Fourier analytic arguments to prove various non-existence results on systems of real and com- plex unbiased Hadamard matrices.
Matolcsi, Máté   +2 more
core   +1 more source

Weighted Spectral Properties of a Hadamard-Type Fractional Operator

open access: yesJournal of Function Spaces
In this paper, we investigate a class of Hadamard-type fractional operators from the viewpoint of functional analysis and spectral theory. The analysis is carried out on the bounded interval 1,R within the weighted Hilbert space L21,R,dx/x, which ...
Muath Awadalla, Maryam G. Alshehri
doaj   +1 more source

Galerkin Finite Element Method for Caputo–Hadamard Time-Space Fractional Diffusion Equation

open access: yesMathematics
In this paper, we study the Caputo–Hadamard time-space fractional diffusion equation, where the Caputo derivative is defined in the temporal direction and the Hadamard derivative is defined in the spatial direction separately.
Zhengang Zhao, Yunying Zheng
doaj   +1 more source

k-Fractional Extension of h-Hadamard Integrals and Derivatives

open access: yesJournal of Al-Qadisiyah for Computer Science and Mathematics
In this paper, we present a generalization types of the h-Hadamard integrals and derivatives parameterized by k. The h-Hadamard integrals and derivatives are themselves generalizations of the Hadamard integrals and derivatives, defined in relation to a continuous function h.
Sajad Talib Khathem, Methaq Hamza Geem
openaire   +1 more source

Fractional telegraph equation, Mittag-Leffler function, Hilfer derivative, Hadamard fractional derivative, Riesz-Feller space-fractional derivative

open access: yes, 2015
In this paper we consider space-time fractional telegraph equations, where the time derivatives are intended in the sense of Hilfer and Hadamard while the space fractional derivatives are meant in the sense of Riesz-Feller. We provide the Fourier transforms of the solutions of some Cauchy problems for these fractional equations.
Saxena, Ram K., Garra, R., Orsingher, E.
openaire   +2 more sources

Analytical Solutions of Time-Fractional Navier–Stokes Equations Employing Homotopy Perturbation–Laplace Transform Method

open access: yesFractal and Fractional
The aim of this article is to introduce analytical and approximate techniques to obtain the solution of time-fractional Navier–Stokes equations. This proposed technique consists is coupling the homotopy perturbation method (HPM) and Laplace transform (LT)
Awatif Muflih Alqahtani   +3 more
doaj   +1 more source

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